Least Common Multiple of 3896/697, 1792/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3896/697, 1792/172 quickly i.e. 872704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3896/697, 1792/172 is 872704.

LCM(3896/697, 1792/172) = 872704

LCM of 3896/697, 1792/172

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3896/697,1792/172

Given numbers are 3896/697,1792/172

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3896,1792

Least Common Multiple of Numerators i.e. LCM of 3896,1792 is 872704.

GCF of Denominators means GCF of 697,172 as per the given fractions.

GCF of 697,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3896,1792

LCM of Fractions 3896/697,1792/172 is 872704

2 3896, 1792
2 1948, 896
2 974, 448
487, 224

∴ So the LCM of the given numbers is 2 x 2 x 2 x 487 x 224 = 872704

Least Common Multiple of 3896,1792 with GCF Formula

Least Common Multiple of 3896,1792 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3896,1792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3896,1792) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(3896,1792) x common factors =8 x 1 = 8

LCM(3896,1792) = ( 3896 × 1792 ) / 8

LCM(3896,1792) = 6981632 / 8

LCM(3896,1792) = 872704


Lets's calculate GCF of 697,172

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872704/1

Therefore the LCM of Fractions 3896/697,1792/172 is 872704

Greatest Common Factor of 697,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,172 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 697,172 . The biggest common factor number is the GCF number.
So the greatest common factor 697,172 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3896/697, 1792/172

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3896/697, 1792/172?

Answer: LCM of Numerators as per given numbers 3896/697, 1792/172 is

LCM of Numerators i.e. for 3896,1792 is 872704

GCF of denominators i.e. for 697,172 is 1.

Thus, LCM of Fractions is 872704.Finally, LCM of Fractions for 3896/697, 1792/172 is 872704.